84044822400 has 960 divisors, whose sum is σ = 386764709760. Its totient is φ = 17459712000.

The previous prime is 84044822371. The next prime is 84044822437. The reversal of 84044822400 is 422844048.

84044822400 is a `hidden beast` number, since 8 + 404 + 4 + 8 + 2 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19956295 + ... + 19960505.

It is an arithmetic number, because the mean of its divisors is an integer number (402879906).

Almost surely, 2^84044822400 is an apocalyptic number.

84044822400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84044822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193382354880).

84044822400 is an abundant number, since it is smaller than the sum of its proper divisors (302719887360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84044822400 is a wasteful number, since it uses less digits than its factorization.

84044822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 84044822400 in words is "eighty-four billion, forty-four million, eight hundred twenty-two thousand, four hundred".